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Finding the Fourth Proportional to 52,646, 78,969 and 15,710

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Solution

The fourth proportional to 52,646, 78,969 and 15,710 is: 23,565

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,646 : 78,969 = 15,710 : x
  2. Step 2: Convert to fraction form
    52,646/78,969 = 15,710/x
  3. Step 3: Cross multiply
    52,646x = 78,969 × 15,710
  4. Step 4: Simplify right side
    52,646x = 1,240,602,990
  5. Step 5: Solve for x
    x = 1,240,602,990/52,646
  6. Step 6: Final answer
    x = 23,565

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.